SSC SSC CHSL TIER-I Solved Paper Held on 08.01.2017

  • question_answer
    If \[2x+3(5-2x)>2-3x<2x-\frac{x}{3},\]then \[x\]can take which of the following values?

    A)  0

    B)  -2

    C)  -4

    D)  2

    Correct Answer: D

    Solution :

    \[2x+3(5-2x)>2-3x\] \[\Rightarrow 2x+15-6x>2-3x\] \[\Rightarrow -4x+3x>2-15\] \[\Rightarrow -x>-13\] \[\Rightarrow x<13\] Again, \[2-3x<2x-\frac{x}{3}\] \[\Rightarrow 6-9x<6x-x\] \[\Rightarrow 6-9x<5x\] \[\Rightarrow 6<5x+9x\] \[\Rightarrow 14x>6\] \[\Rightarrow x>\frac{6}{14}\Rightarrow \frac{6}{14}<x<13\]


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